Question

the ratio of two sides of parellelogram is 3:5 and it's perimeter is 48 cm find the sides of parellelogram​

Answer 1

Step-by-step explanation:

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Answer 2

⇝Given :-

• Perimeter = 48 cm
• Ratios of side = 3:5

⇝To Find :-

• Find the sides.

⇝Solution :-

${\large{\red{❒}}{\underline{\bf{We \: Know \: that :}}}}$

${\large{\red{\bigstar \: \: \: \: {\blue{\underbrace{\underline{\orange{\bf{Perimeter_{(parallelogram)}= 2(A + B)}}}}}}}}}$

${\large{\red{❒}}{\underline{\bf{Let:}}}}$

• 1st parallel side = 3x
• 2nd parallel side = 5x

${\large{\red{❒}}{\underline{\bf{Sides:}}}}$

${\large{:{\longmapsto{\bf{Perimeter = 2(A + B)}}}}}$

${\large{:{\longmapsto{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: 2(3x + 5x)}}}}}$

${\large{:{\longmapsto{\bf{ \: \: \: 48 = 2(3x + 5x)}}}}}$

${\large{:{\longmapsto{\bf{ \: \: \: 48 = 2 \times 8x}}}}}$

${\large{:{\longmapsto{\bf{ \: \: \: {\cancel \frac{48}{2}} = 8x}}}}}$

${\large{:{\longmapsto{\bf{ \: \: \: {\cancel \frac{24}{8} }= x}}}}}$

${\large{\purple{:{\longmapsto{\underline{\overline{\boxed{\bf{X = 3}}}}}}}}}$

${\large{\red{❒}}{\underline{\bf{Therefore:}}}}$

${\blue{\twoheadrightarrow{\orange{\bf{1st \: Side = 3x = 3 × 3 = 9 cm}}}}}$

${\blue{\twoheadrightarrow{\orange{\bf{2nd \: Side = 5x = 5 × 3 = 15 cm}}}}}$

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Answered by :

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